Arithmetic-Haar Spectral Transform Decision Diagrams

The generalization of multi-polarity arithmetic-Haar transform in the form of layered Kronecker matrices and its corresponding representations is proposed. As the new generalized arithmetic-Haar transform has a structure similar to that of the Haar and arithmetic transform matrices, similar spectral transform decision diagrams are held in the expanded transform as well. The new kind of spectral transform decision diagram has multiple-valued terminals corresponding to the multi-polarity arithmetic-Haar transform to represent the arithmetic-Haar spectra of discrete functions.